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Finding the Fourth Proportional to 11,447.23, 17,156.98 and 4,859.59

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Solution

The fourth proportional to 11,447.23, 17,156.98 and 4,859.59 is: 7,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.23 : 17,156.98 = 4,859.59 : x
  2. Step 2: Convert to fraction form
    11,447.23/17,156.98 = 4,859.59/x
  3. Step 3: Cross multiply
    11,447.23x = 17,156.98 × 4,859.59
  4. Step 4: Simplify right side
    11,447.23x = 83,375,888.44
  5. Step 5: Solve for x
    x = 83,375,888.44/11,447.23
  6. Step 6: Final answer
    x = 7,283.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.